Home / 2,281.27-3,423.22-964.93

Finding the Fourth Proportional to 2,281.27, 3,423.22 and 964.93

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Solution

The fourth proportional to 2,281.27, 3,423.22 and 964.93 is: 1,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.27 : 3,423.22 = 964.93 : x
  2. Step 2: Convert to fraction form
    2,281.27/3,423.22 = 964.93/x
  3. Step 3: Cross multiply
    2,281.27x = 3,423.22 × 964.93
  4. Step 4: Simplify right side
    2,281.27x = 3,303,167.73
  5. Step 5: Solve for x
    x = 3,303,167.73/2,281.27
  6. Step 6: Final answer
    x = 1,447.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.